We divide 380090 by 60
We're looking to find how many times 60 goes into 380090.

Advancing to step 1:
60 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 60

Let's proceed to step 2:
38 divided by 60 is 0 with a remainder of 38.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Include the next digit (0) from the dividend after 38, then repeat: 380 / 60

Moving on to step 3:
When dividing 380 by 60, we get 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 6.0
If we take 360 away from 380, we end up with 20.
Include the next digit (0) from the dividend after 20, then repeat: 200 / 60

On to step 4:
200 divided by 60 is 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Subtracting 180 from 200 leaves us with 20.
Append the next digit (9) from the dividend to 20 and continue with: 209 / 60

Step 5:
60 goes into 209 3 times with a remainder of 29.
The next digit of our result is 3. 
Result so far: 633.0
Deduct 180 from 209 and we're left with 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 60

On to step 6:
When dividing 290 by 60, we get 4 with a remainder of 50.
The next digit of our result is 4. 
Result so far: 6334.0
Subtracting 240 from 290 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
60 can be fit into 500 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 6334.8
If we take 480 away from 500, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 60, we get 3 and a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 6334.83
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
60 can be fit into 200 3 times, resulting in a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 6334.833
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 6334.833 with a balance of 0.002.